PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB

Time Domain Representation of Continuous and Discrete Signals 95

P.1.13 Plot the functions indicated as follows over the range − 3 ≤ t ≤ 3 :

f 1 (t) = t^3

f 2 (t) = 3 + t^3

f 3 (t) = 2t^3 + t^5 + 3

f 4 (t) = tan(2t)

f 5 (t) = sin(2t)

and verify that all the preceding functions present odd symmetry, that is, f(t) = −f(t).

P.1.14 Plot the functions indicated as follows for the range − 3 ≤ t ≤ 3 :

f 1 (t) = t^2

f 2 (t) = 3 + t^2

f 3 (t) = 2t^4 + t^6 + 3

f 4 (t) = cos(2t)

f 5 (t) = |t|

and verify that all the preceding functions present even symmetry, that is, f(t) = f(−t).

P.1.15 Write a MATLAB function fi le that analyzes a given arbitrary function f(t) over the

range − 3 ≤ t ≤ 3 , and returns a message indicating if f(t) presents even or odd sym-

metry. Repeat the preceding problem over any given range.

P.1.16 Given the functions shown in Figure 1.79, sketch by hand for each function its even

and odd parts.

f 1 (t)

f 4 (t)

f 2 (t) f 3 (t)

f 5 (t)

f 6 (t) f 7 (t)

t

t

t t

−1 0

− 1

+1

− 1

1

2

2

0 0 2 −2 2

tt t

1

3

3

2

(^10)
− 10 3 − 10 3
1
1
2
12
FIGURE 1.79
Plots of P.1.16.